关于高维del Pezzo变种

IF 0.8 3区数学 Q2 MATHEMATICS Izvestiya Mathematics Pub Date : 2023-01-01 DOI:10.4213/im9385e

Alexander Gennad'evich Kuznetsov, Yuri Gennadievich Prokhorov

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引用次数: 0

摘要

我们研究del Pezzo变体，即del Pezzo曲面的高维类似物。特别地，我们引入del Pezzo变种的ADE分类，证明了在类型A$中，非圆锥del Pezzo变种的维数以$12 - d - r$为界，其中$d$为度，$r$为类群的秩，并对极大del Pezzo变种进行了分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On higher-dimensional del Pezzo varieties

We study del Pezzo varieties, higher-dimensional analogues of del Pezzo surfaces. In particular, we introduce ADE classification of del Pezzo varieties, show that in type $\mathrm A$ the dimension of non-conical del Pezzo varieties is bounded by $12 - d - r$, where $d$ is the degree and $r$ is the rank of the class group, and classify maximal del Pezzo varieties.

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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.

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